Online GCD Calculator is useful to find the GCD of 589, 342, 77, 466 quickly. Get the easiest ways to solve the greatest common divisor of 589, 342, 77, 466 i.e 1 in different methods as follows.
Given Input numbers are 589, 342, 77, 466
In the factoring method, we have to find the divisors of all numbers
Divisors of 589 :
The positive integer divisors of 589 that completely divides 589 are.
1, 19, 31, 589
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 77 :
The positive integer divisors of 77 that completely divides 77 are.
1, 7, 11, 77
Divisors of 466 :
The positive integer divisors of 466 that completely divides 466 are.
1, 2, 233, 466
GCD of numbers is the greatest common divisor
So, the GCD (589, 342, 77, 466) = 1.
Given numbers are 589, 342, 77, 466
The list of prime factors of all numbers are
Prime factors of 589 are 19 x 31
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 77 are 7 x 11
Prime factors of 466 are 2 x 233
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 589, 342, 77, 466
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(589, 342) = 10602
GCD(589, 342) = ( 589 x 342 ) / 10602
= 589 / 342
= 589
Step2:
LCM(19, 77) = 1463
GCD(19, 77) = ( 19 x 77 ) / 1463
= 19 / 77
= 19
Step3:
LCM(1, 466) = 466
GCD(1, 466) = ( 1 x 466 ) / 466
= 1 / 466
= 1
So, Greatest Common Divisor of 589, 342, 77, 466 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 589, 342, 77, 466
The greatest common divisor of numbers 589, 342, 77, 466 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 589, 342, 77, 466 is 1.
1. What is the GCD of 589, 342, 77, 466?
GCD of given numbers 589, 342, 77, 466 is 1
2. How to calculate the greatest common divisor of 589, 342, 77, 466?
We can find the highest common divisor of 589, 342, 77, 466 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 589, 342, 77, 466 i.e 1.
3. How can I use the GCD of 589, 342, 77, 466Calculator?
Out the numbers 589, 342, 77, 466 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.